Question

How do you solve `9x-8=x^2`?

Answer 1

`x=1" or "x=8`

Explanation:

`"express the equation in "color(blue)"standard form"`

`•color(white)(x)ax^2+bx+c=0`

`"subtract "9x-8" from both sides"`

`rArrx^2-9x+8=0larrcolor(blue)"in standard form"`

`"the factors of + 8 which sum to - 9 are - 1 and - 8"`

`rArr(x-1)(x-8)=0`

`"equate each factor to zero and solve for x"`

`x-1=0rArrx=1`

`x-8=0rArrx=8`